A Left Symmetric Algebraic Structure On A Class Of Virasoro Type Algebras

The notion of left-symmetric algebra was introduced by Vinberg.LSAs is a class of non associate algebra which is closely related to vector space,root function,vertex algebra,lie group and lie algebra.Later,after many scholars research,and has carried on the promotion.And in this paper,we study the compatible left-symmetric algebra structure on new type of Virasoro algebra.In the present paper,the main work is as follows:In the first chapter,we introduce the concepts and development status of Lie algebra,left-symmetric algebra and a new type of Virasoro algebra.In the second chapter,the definition of the left-symmetric algebra and Virasoro algebra are reviewed.In the third chapter,determine the non-center of the left-symmetric structure on the type of Virasoro algebra.In the forth chapter,the main result of this paper are proved,that is prove the central extension of the left-symmmetric structure on the type of Virasoro algebra.